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Some remarks on analytic foliations and analytic branched coverings

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References

  1. Benedetti, R., Tognoli, A.: Teoremi di approssimazione in topologia differenziale I. Boll. Un. Mat. Ital.14, 866–887 (1977)

    Google Scholar 

  2. Berstein, I., Edmonds, A.: On the construction of branched coverings of low dimensional manifolds. Trans. Amer. Math. Soc.247, 87–124 (1979)

    Google Scholar 

  3. Bruhat, F., Whitney, H.: Quelques propriétés fondamentales des ensembles analytiques réels. Comment. Math. Helv.33, 132–160 (1959)

    Google Scholar 

  4. Ghys, E., Sergiescu, V.: Stabilité et conjugaison différentiable pour certains feuilletages. To appear in Topology

  5. Goodman, S.: On the structure of foliated 3-manifolds separated by a compact leaf. Invent. math.39, 213–221 (1977)

    Google Scholar 

  6. Grauert, H.: On Levi's problem and the embedding of real analytic manifolds. Ann. of Math.68, 460–472 (1958)

    Google Scholar 

  7. Haefliger, A.: Variétés feuilletées. Ann. École Norm. Sup. Pisa16, 367–397 (1962)

    Google Scholar 

  8. Hector, G.: Feuilletages en cylindres. Lecture Notes in Mathematics 597, pp. 252–270. Berlin, Heidelberg, New York: Springer 1977

    Google Scholar 

  9. Hirsch, M.: A stable analytic foliation with only exceptional minimal sets. Dynamical Systems, Warwick. Lecture Notes in Mathematics 468, pp. 9–10. Berlin, Heidelberg, New York: Springer 1975

    Google Scholar 

  10. Hirsch, M.: Differential topology, Vol. 33. Berlin, Heidelberg, New York: Springer 1976

    Google Scholar 

  11. Moussu, R., Roussarie, R.: Relations de conjugaison et de cobordisme entre certains feuilletages. Publ. Math. I.H.E.S.43, 143–168 (1974)

    Google Scholar 

  12. Novikov, S.P.: Topology of foliations. Trudy Math. Obsch.14, 513–583 (1965). Trans. pp. 268–304

    Google Scholar 

  13. Plante, J.F.: Foliations of 3-manifolds with solvable fundamental group. Invent. Math.51, 219–230 (1979)

    Google Scholar 

  14. Reeb, G.: Sur certaines propriétés topologiques des variétés feuilletées. Actualités scient. ind. Paris: Herman 1952

    Google Scholar 

  15. Rosenberg, H.: Reeb foliations. Ann. of Math.91, 1–24 (1970)

    Google Scholar 

  16. Rosenberg, H., Chatelet, G.: Un théomrème de conjugaison des feuilletages. Ann. Inst. Fourier21, 95–106 (1971)

    Google Scholar 

  17. Royden, H.L.: The analytic approximation of differentiable mappings. Math. Ann.139, 171–179 (1960)

    Google Scholar 

  18. Thurston, W.P.: Foliations of 3-manifolds which are circle bundles. Thesis, Berkeley (1972)

  19. Titus, C.J., Young, G.S.: A Jacobian condition for interiority. Mich. Math. J.1, 89–94 (1952)

    Google Scholar 

  20. Whitney, H.: The self-intersections of a smoothn-manifold inn-space. Ann. of Math.45, 220–246 (1944)

    Google Scholar 

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Authors and Affiliations

  1. Sonderforschungsbereich Theoretische Mathematik der Universität, Beringstraße 4, D-5300, Bonn 1, Federal Republic of Germany

    Ulrich Hirsch

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  1. Ulrich Hirsch
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This research was begun at the SFB „Theoretische Mathematik“ at Bonn. It was accomplished at IHES

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Hirsch, U. Some remarks on analytic foliations and analytic branched coverings. Math. Ann. 248, 139–152 (1980). https://doi.org/10.1007/BF01421954

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